Each two digit number has two numbers (duh!). Let's allow the tens digit to be x and the units digit to be y. Tens digit is 3 less than the units digit: x = y-3 Original number is 6 more than 4 times the sum of the digits: 10x+y-6 = 4x + 4y This gives us simultaneous equations!First let's clear the mess: 1. x= y-32. 6x-3y=6 Substitute 1 into 2: 6(y-3) -3y =66y - 18 - 3y = 6
3y = 24y = 8 Our units digit is 8 Substitute y= 8 into 1. x = y - 3x = 5 Our tens digit is 5 Therefore, our number is 58
Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)
We have the next equation of line:
y=1/2 x-2 (slope-intercept form y=mx+b)
the slope of this line is 1/2 (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2 (0,-2)
Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)
Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)
Answer:
12
Step-by-step explanation:
this equation is in slope intercept form which is
y=mx+b
you just have to remember that m is your slope and b is your y intercept
therefore, the y intercept is 12
Answer:
The answer to your question is the letter C
Step-by-step explanation:
Data
a = 4.5 u
b = 5.8 u
c = 3 u
Process
1.- Calculate the volume of the rectangular prisms
Formula
Volume = a x a x c
Substitution
Volume = 4.5 x 4.5 x 3
Result
Volume = 60.75 u³
But there are two rectangular prism
Total volume = 2 x 60.75
= 121.5 u³
2.- Calculate the volume of the triangles
Formula
Volume = base x width x height
Substitution
Volume = 5.8 x 3 x 4.5
Result
Volume = 78.3 u³
3.- Total volume
Volume = 121.5 + 78.3
= 199.8 u³
Answer:
X= 360- (180+35)
X= 145
Step-by-step explanation:
since angle at a point is same as angle in a circle =360°
And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point
